A) use euclidean algorithm to find the greatest common divisor of 189 and 114? b) find a pair of integers x, y such that 189x + 114y = -6. c) find the prime number factorisation of 114. 2. [6 marks] a) express the continued fraction (2: 4, 1, 2) as a rational number. b) express the continued fraction -1; 2, 3,2 as a real number, where ** means a periodic repetition of ** 3. [6 marks] a) convert the 4-ary expansion 2.1301, into binary in simplest possible way (the efficiency of your solution will be taken into account). b) write (-21.231)s as a rational number in base 10. 4. [2 marks] what is god (2n + 1, 2n-1) for an integer n? (you must prove for your answer).

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

the answer is thin because within context, the stanza concludes the and frail tone the people have toward each other, and the fact that it would be thin, makes the most sense compared to "pliable" or "not hard or firm to the touch". hope this , good luck.

step-by-step explanation:

can i have brainliest

can you make your screen more see able?

then i might be able to .